The anti-spherical Hecke categories for Hermitian symmetric pairs
Bowman, C., De Visscher, M. 
ORCID: 0000-0003-0617-2818, Hazi, A. & Norton, E. (2025).
The anti-spherical Hecke categories for Hermitian symmetric pairs.
Advances in Mathematics, 480(Part B),
article number 110501.
doi: 10.1016/j.aim.2025.110501
Abstract
We calculate the p-Kazhdan–Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories.
| Publication Type: | Article |
|---|---|
| Additional Information: | © 2025. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Publisher Keywords: | Hecke categories, Hermitian symmetric pairs, Combinatorial representation theory, Kazhdan-Lusztig polynomials, Koszul algebras |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.1016/j.aim.2025.110501
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